13162122126131 has 48 divisors (see below), whose sum is σ = 15375307417344. Its totient is φ = 11234696088000.

The previous prime is 13162122126073. The next prime is 13162122126149.

13162122126131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13162122126131 - 2³⁰ = 13161048384307 is a prime.

It is a super-2 number, since 2×13162122126131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13162122126161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83274680 + ... + 83432586.

It is an arithmetic number, because the mean of its divisors is an integer number (320318904528).

Almost surely, 2^{13162122126131} is an apocalyptic number.

13162122126131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13162122126131 is a deficient number, since it is larger than the sum of its proper divisors (2213185291213).

13162122126131 is a wasteful number, since it uses less digits than its factorization.

13162122126131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158504 (or 158493 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The spelling of 13162122126131 in words is "thirteen trillion, one hundred sixty-two billion, one hundred twenty-two million, one hundred twenty-six thousand, one hundred thirty-one".